Lab $03$: Applications of gates: A Binary adder

This lab requires you to design a logic circuit for use in an Arithmetic Logic Unit Inside a CPU. This unit is supposed to perform a binary addition of one bit to another.

To design the logic circuit for the one bit$-$adder that you will be creating, let us start with the very basics of adding two bits.

How many input combination possibilities exist when you perform binary addition of two bits identified by A and B$?$